I was wondering what ring height I need for mounting a VIPER HS 2.5-10X44 RIFLE SCOPE on a .243 Tikka T3? I want to use Tally rings and was wondering if any of the clan here has experience with this set up.

There is a guy on the fire who mills out, which lowers lightweight Talley rings specifically for the T3. He can do 30mm or 1". Look up 16Bore and see if he's still doing this.
His work is good and several guys here have had him do rings for their T3's.

Look at DNZ I know you want Talley but.